Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?
Answer:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Step-by-step explanation:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Evaluate the expression.
Answer:
40
Step-by-step explanation:
To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.
3^3 + 3(4 + 1/3)
= 3^3 + 3(13/3)
= 27 + 3 x 13/3
= 27 + 13
= 40
Can somebody help me ?
Answer:
The correct answer is whole
another one of these, god help me
Answer:
24x+48
Step-by-step explanation:
(3x+6)(8)
=8(3x+6)
=(8*3x)+(8*6)
=24x+48
Answer: 24x + 48
Step-by-step explanation:
The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).
First you must replace L and W, for their given values.
A= (L) (W)
A= (3x+6) (8)
Then, simply simplify by multiplying 3x+6 by 8
You would end up getting 24x + 48
Write 0.721 as a fraction. Show your work.
Step-by-step explanation:
721/100
It is correct answer
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
does pablos cell phone plan offer the same ratio of free to paid minutes as sams? explain
Answer:
So the answer would be No Pablo's cell phone plan does not offer the same ratio of free to paid as Sam's because Pablo's cell phone plan provides free minutes which are basically equal to the paid minutes.
Step-by-step explanation:
Hope this helps and have a great day!!!
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!
Answer:
22.91 inches
Step-by-step explanation:
circumference = 2πr
2πr = 72 inches
2 x [tex]\frac{22}{7}[/tex] x r = 72
[tex]\frac{44}{7}[/tex] x r = 72
Solving for r , divide both sides of the equation by 7/44
r = 11.454545 inches
diameter= 2 x radius
2 x 11.454545 inches = 22.91 inches
What is the first step you would take to solve the equation 5x - 12 = -20?
Divide 5x and -20 by 5.
Add 20 to both sides.
multiply 12 by .
Add 12 to both sides.
Answer:
The first step would be to add twelve to both sides
Step-by-step explanation:
Answer:
add 12 to both sides
Step-by-step explanation:
What we want to do, is to isolate the variable and the numbers on different sides.
if we divide 5x and -20 by 5, what about -12? It's part of the equation too.
If we add 20 to both sides, the numbers and the variable are on the same side, so we'll need to subtract it back off to isolate both.
If we multiply 12 by (what was there) it won't be isolating the variable or numbers. We'll just be increasing the value of the terms already there.
However, if we add 12 to both sides, we'll be isolating both the variable AND the numbers onto different sides.
therefore, add 12 to both sides.
Hope this helps!
what is the problem where women =evil?
1
ok that ok dffhbgufuodwrebygfshdhrfgtbhjdufyhg t
factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
Which of the following equations best represents the line of best fit for the data in the scatterplot?
Answer:
the answer is b bc the line is positive
Step-by-step explanation:
The equation that best represents the line of best fit is -
y = (1/2)x - 1
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the line of best fit for the data in the scatterplot.
The line passes through the points -
(0, - 1) and (2, 0).
Then, the slope will be -
m = 1/2
and the [y] - intercept is -1. So the equation that best represents the line of best fit is -
y = (1/2)x - 1
Therefore, the equation that best represents the line of best fit is -
y = (1/2)x - 1
To solve more questions on straight lines, visit the link below-
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You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.
Answer:
2,100
Step-by-step explanation:
Calculation to Estimate the number of fish in the pond.
Estimated Number of fish=420 fish*140 fish/28
Estimated Number of fish=58,800/28
Estimated Number of fish=2,100
Therefore the Estimated number of fish in the pond will be 2,100
The total number of fish in the pond is 2100
Let y represent the total fish in the pond.
Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?The estimated fish in pond can be obtained as follow:
Tagged in pond / Total in pond = captured tagged fish / Captured fish
140 / y = 28 / 420
Cross multiply
y × 28 = 140 × 420
y × 28 = 58800
Divide both side by 28
y = 58800 / 28
y = 2100
Thus, the estimated fish in the pond is 2100
Learn more about estimation:
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Can you help with both questions please :)
Answer:
X(4x+x^2)
Step-by-step explanation:
First the LCM is x
Now just distribute
Someone pls help me solve this I’m having really bad anxiety!
There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?
Answer:
273 people.
Step-by-step explanation:
Given that,
Total number of people working on an office building = 1092
The building has 4 floors, and the same number of people work on each floor.
We need to find how many people work on each floor. Let there are n people in each floor.
n = Total number of people/Total number of floors
[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]
So, there are 273 people working on each floor.
15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.
Answer:
[tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]
The width of the easement is [tex]x\ \text{ft}[/tex]
Buildable area 140 ft by 64 ft
[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]
The width of the easement is [tex]5\ \text{ft}[/tex].
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
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...
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A bag contains orange, white, and purple marbles. If you randomly
choose a marble from the bag, there is a 23% chance of drawing an
orange marble and a 48% chance of drawing a white marble. What is the
probability of choosing a purple marble? Express your answer as a
percent
Answer:
29%
Step-by-step explanation:
48%+23%= 71%
100%-71%=29%
the area of a 12-cm- wide rectangle is 180cm. what is its length?
Answer:
multiply the legth times width
Step-by-step explanation:
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If
Mary bought 16 fish for a total cost of $31.60, not including tax, how many of each
type of fish did she buy?
a) 8 zebra fish; 8 neon tetras
b)8 zebra fish; 9 neon tetras
c) 14 zebra fish; 2 neon tetras
d) 7 zebra fish: 9 neon tetras
Why can you remove you can remove an x-tile from each side of the mat?
The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?
Answer:
18 albums
Step-by-step explanation:
2x+3x=45
5x=45
x=9
country=2(9) = 18 album
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
Learn more about the Area of the rectangle here:
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Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
If a+1=b then b>a create values for a and b
Answer:
One is a = 2, b = 3 AND another one is a = 11, b = 12
Step-by-step explanation:
They all fit this description. b = 1+a
help Math 39 points Asap Probability image below
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
